412400052 has 96 divisors (see below), whose sum is σ = 1091650560. Its totient is φ = 134615520.

The previous prime is 412400033. The next prime is 412400063. The reversal of 412400052 is 250004214.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 412399998 and 412400034.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1457103 + ... + 1457385.

It is an arithmetic number, because the mean of its divisors is an integer number (11371360).

Almost surely, 2^412400052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412400052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545825280).

412400052 is an abundant number, since it is smaller than the sum of its proper divisors (679250508).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

412400052 is a wasteful number, since it uses less digits than its factorization.

412400052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 412400052 is about 20307.6353128571. The cubic root of 412400052 is about 744.3426491406.

Adding to 412400052 its reverse (250004214), we get a palindrome (662404266).

The spelling of 412400052 in words is "four hundred twelve million, four hundred thousand, fifty-two".